The value of `sin^(2)2^(@)+sin^(2)4+sin^(2)6^(@)+...+sin^(2)90^(@)` is

Options

A. 23
B. 0
C. 44
D. 22

Answer

a

Explanation

According to the qeustion
`rArrsin^(2)2^(@)+sin^(2)4^(@)+sin^(2)6^(@)+........+sin^(2)60^(@)`.
Number of terms `=(l-a)/(d)+1`
`=(90-2)/(2)+1=45`
But `sin^(2)90^(@)=1`
So, `22` pairs +`sin^(2)90^(@)`
23+1=23